$V$ is an $n$-dimensional vector space. Show that $n + 1$ vectors in $V$ form a linearly dependent set.
Here is how I am approaching it:
Let $\dim V = n$, which implies that $S$ is a linearly independent set of vectors such that $S = \{v_1,v_2,\ldots,v_n\}$ is the basis of $V$.
Let $W = \{w_1,\ldots,w_r\}$ be a set of linearly independent vectors in $V$
I don't know where to go from here.